Statistics of Bonsai Test

© Feb 2008 Paul Cooijmans

Remark: This test is no longer used in its own right but part of "Cartoons of Shock". These statistics are from the period before the test was incorporated therein.

Norms

Correlation with other tests

Test#cor
Analogies of Long Test For Genius80.92
Strict Logic Sequences Exam I50.90
Cartoons of Shock100.79
Long Test For Genius80.79
Lieshout International Mesospheric Intelligence Test70.78
Association subtest of Long Test For Genius80.67
KIT Intelligence Test60.67
Reason50.63
Qoymans Multiple-Choice #170.57
The Final Test50.54
Test of Shock and Awe90.54
Space, Time and Hyperspace140.53
Spatial section of Test For Genius - Revision 200480.51
Qoymans Multiple-Choice #390.45
Logima Strictica 3660.45
Test For Genius - Revision 200480.43
Qoymans Multiple-Choice #480.40
Odds60.36
Cooijmans Intelligence Test - Form 1100.36
Short Test For Genius50.22
Verbal section of Test For Genius - Revision 200480.22
Numbers130.17
Genius Association Test70.15
Sigma Test60.08
The Test To End All Tests8-0.03
Cooijmans Intelligence Test - Form 26-0.28
Mysterium Entrance Exam5-0.44
NVCPE5-0.63
Spatial Insight Test5-0.74
Unknown tests5-0.78

Weighted average of correlations: 0.354

Conservatively estimated minimum g loading: 0.59

Ranking in above table is based on the unrounded correlations. All available data is present in this table, no tests are left out except for those with less than 5 score pairs. All known pairs are used to obtain the true, honest statistics; correlations are not artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Additional statistics October 2014

© October 2014 Paul Cooijmans

Scores on Bonsai Test

Contents type: Verbal, numerical, spatial.   Period: 2002-2006

3 **
5 **
6 **
7 *
7.5 *
8 ***
9 *
10 ****
11 *****
12 ***
13 *

Correlation of Bonsai Test with other tests by Paul Cooijmans

(Test index) Test name n r
(24) Reason - Revision 200840.93
(75) Analogies of Long Test For Genius80.92
(53) Qoymans Multiple-Choice #380.83
(63) Long Test For Genius80.79
(16) Lieshout International Mesospheric Intelligence Test70.78
(1) Cartoons of Shock110.76
(40) Reason Behind Multiple-Choice - Revision 200840.75
(77) Analogies #140.71
(79) Association subtest of Long Test For Genius80.67
(83) KIT Intelligence Test - first attempts60.67
(82) Reason50.63
(35) Intelligence Quantifier by assessment90.61
(62) Reason Behind Multiple-Choice40.59
(51) Qoymans Multiple-Choice #170.57
(54) Test of Shock and Awe90.54
(57) Space, Time, and Hyperspace140.53
(27) Spatial section of Test For Genius - Revision 200490.53
(7) The Final Test120.46
(66) Test For Genius - Revision 200490.45
(25) The Sargasso Test40.42
(80) Qoymans Multiple-Choice #480.40
(69) Odds60.36
(85) Cooijmans Intelligence Test - Form 1100.36
(11) Isis Test80.34
(18) The Nemesis Test40.33
(10) Genius Association Test80.29
(26) Verbal section of Test For Genius - Revision 200490.27
(56) Short Test For Genius50.27
(74) Cooijmans On-Line Test40.19
(68) Numbers130.17
(28) The Test To End All Tests90.16
(3) Qoymans Multiple-Choice #540.13
(87) Cooijmans Intelligence Test - Form 26-0.28
(55) Spatial Insight Test5-0.74

Weighted average of correlations: 0.460

Conservatively estimated minimum g loading: 0.68

Ranking in above table is based on the unrounded correlations. All available data is present in this table, no tests are left out except for those with less than 4 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Correlation of Bonsai Test with tests by others

(Test index) Test name n r
(234) Strict Logic Sequences Exam I50.90
(225) Logima Strictica 3660.45
(229) Mega Test40.42
(239) Titan Test40.18
(237) Sigma Test60.08
(220) Cattell Culture Fair4-0.35
(213) Encephalist - R4-0.37
(231) Mysterium Entrance Exam5-0.44
(235) Nonverbal Cognitive Performance Examination5-0.44
(242) Unknown tests5-0.78

Weighted average of correlations: -0.023

Ranking in above table is based on the unrounded correlations. All available data is present in this table, no tests are left out except for those with less than 4 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Please be aware that correlations with these external tests are in most cases affected (depressed, typically) by one or more of the following: (1) Little overlap with the object test because of the much lower ceilings and inherent ceiling effects of the tests used in regular psychology; (2) Candidates reporting scores selectively, for instance only the higher ones while withholding lower ones; (3) Candidates reporting, or having been reported by psychometricians, incorrect scores.

Estimated loadings of Bonsai Test on particular item types

These are estimated g factor loadings, but against homogeneous tests containing only particular item types, as opposed to non-compound heterogeneous tests. Although tending to surprise the lay person, it is not uncommon for tests to have high loadings on item types they do not actually contain themselves. Such loadings reflect the empirical fact that most tests for mental abilities measure primarily g, regardless of their contents; that the major part of test score variance is caused by g, and only a minor part by factors germane to particular item types. It is of key importance to understand that this is a fact of nature, a natural phenomenon, and not something that was built into the tests by the test constructors.

Typeg loading of Bonsai Test on that type
Verbal0.70
Numerical0.48
Spatial0.63
Logical0.77
Heterogeneous0.62

Compound tests have been left out of this table to avoid overlap.

Balanced g loading = 0.64

National medians for Bonsai Test

Country n median score
Germany210.0
United_Kingdom310.0
Finland29.8
United_States67.0

For reasons of privacy, only countries with 2 or more candidates are included in this table. Ranking is based on the medians, and then alphabetic.

Correlation of Bonsai Test with personal details

Personalia n r
Observed behaviour70.59
Observed associative horizon60.51
Sex250.42
P.S.I.A. Rational60.40
P.S.I.A. Extreme60.31
Year of birth250.27
Mother's educational level170.26
Disorders (parents and siblings)170.24
P.S.I.A. Orderly60.23
P.S.I.A. Cruel60.16
Disorders (own)170.16
Gifted Adult's Inventory of Aspergerisms40.14
P.S.I.A. Cold60.08
P.S.I.A. System factor90.08
P.S.I.A. Ethics factor13-0.02
Educational level17-0.08
Father's educational level17-0.17
P.S.I.A. Deviance factor13-0.17
P.S.I.A. Introverted6-0.18
P.S.I.A. Rare6-0.26
P.S.I.A. Antisocial6-0.31
P.S.I.A. Neurotic6-0.32
P.S.I.A. Aspergoid6-0.43
P.S.I.A. True6-0.65
P.S.I.A. Just6-0.77

Correlation with national I.Q.'s of Bonsai Test

Correlation of this test with national average I.Q.'s published by Lynn and Vanhanen:

Estimated g factor loadings upward and downward of particular scores

In parentheses the number of score pairs on which that estimated g factor loading is based. The goal of this is to verify the hypothesis that g becomes less important, accounts for a smaller proportion of the variance, at higher I.Q. levels. The mere fact of restricting the range like this also depresses the g loading compared to computing it over the test's full range, so it would be normal for both values to be lower than the test's full-range g loading.

Raw scoreUpward g (n)Downward g (n)
00.68 (249)NaN (0)
80.39 (171)0.59 (33)
9-0.26 (126)0.62 (38)
10-0.29 (123)0.74 (98)
11-0.55 (75)0.78 (175)
12NaN (0)0.67 (243)
18NaN (0)0.68 (249)

Upward of 9 right, there is something wrong with the validity of this test, in this sample of candidates; in the fusion of the test with other tests into Cartoons of Shock, it has been attempted to repair this.

Reliability

Error

Scores by age

Age class n median score
55 to 5917.5
50 to 5435.0
45 to 49210.0
40 to 44311.0
35 to 39311.0
30 to 34311.0
25 to 2969.0
22 to 24112.0
20 or 2116.0
18 or 1919.0
1717.0

Scores by year taken

Year taken n median score
2002710.0
200346.0
200488.0
2005411.0
200629.3

ryear taken × median score = 0.29 (n = 25)

Robustness and overall test quality

Item analysis

Item statistics are not published as that would help future candidates. To detect bad items, answers and comments from candidates are studied, as well as, for each problem, the correlation with total score and the proportion of candidates getting it wrong (hardness of the item). Possible bad items are removed or revised, resulting in a revised version of the test. In this case, the test has been fused with two other tests.